Stability and chaos of a neural network with uncertain time delays

被引:0
|
作者
Zhou, SB [1 ]
Li, H
Wu, ZF
机构
[1] Chongqing Univ, Dept Comp Sci & Engn, Chongqing 440004, Peoples R China
[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Time delays affect the behavior of a dynamic system significantly. Chaos have been found in a simplest neural network system consisted with even one neuron. It is known difficult to analyze chaos theoretically in a neural network system with uncertain time delays. In this paper we consider a neural network consisted with one neuron with uncertain time delays. Stability of the system is analyzed first. Chaos phenomenon of the system is then illustrated by giving the diagram of bifurcation and the largest Lyapunov exponent.
引用
收藏
页码:340 / 345
页数:6
相关论文
共 50 条
  • [1] An analysis of stability of uncertain neural networks with multiple time delays
    Faydasicok, Ozlem
    Arik, Sabri
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (07): : 1808 - 1826
  • [2] Robust Stability Criterion for Uncertain Neural Networks with Time Delays
    林知微
    张宁
    杨洪玖
    [J]. Defence Technology, 2010, 6 (03) : 189 - 193
  • [3] A new condition for robust stability of uncertain neural networks with time delays
    Arik, Sabri
    [J]. NEUROCOMPUTING, 2014, 128 : 476 - 482
  • [4] Further analysis of stability of uncertain neural networks with multiple time delays
    Sabri Arik
    [J]. Advances in Difference Equations, 2014
  • [5] Stability analysis of uncertain neural networks with linear and nonlinear time delays
    He, HL
    Wang, ZS
    Liao, XX
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 199 - 202
  • [6] Further analysis of stability of uncertain neural networks with multiple time delays
    Arik, Sabri
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [7] Robust Stability of Uncertain Neural Networks with Time-Varying Delays
    Feng, Wei
    Wu, Haixia
    Zhang, Wei
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2008, PT I, PROCEEDINGS, 2008, 5263 : 338 - +
  • [8] Stability analysis of uncertain fuzzy Hopfield neural networks with time delays
    Ali, M. Syed
    Balasubramaniam, P.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) : 2776 - 2783
  • [9] An improved robust stability result for uncertain neural networks with multiple time delays
    Arik, Sabri
    [J]. NEURAL NETWORKS, 2014, 54 : 1 - 10
  • [10] On robust stability for uncertain neural networks with interval time-varying delays
    Kwon, O. M.
    Park, J. H.
    Lee, S. M.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (07): : 625 - 634